Atkin-Lehner |
2- 5- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
56240s |
Isogeny class |
Conductor |
56240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
2137120000 = 28 · 54 · 192 · 37 |
Discriminant |
Eigenvalues |
2- -1 5- -1 -5 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2725,55625] |
[a1,a2,a3,a4,a6] |
Generators |
[40:95:1] [1:230:1] |
Generators of the group modulo torsion |
j |
8744654012416/8348125 |
j-invariant |
L |
8.269789630606 |
L(r)(E,1)/r! |
Ω |
1.4577755801299 |
Real period |
R |
0.35455515852909 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14060a1 |
Quadratic twists by: -4 |